On the topology of manifolds with positive isotropic curvature

Details On the topology of manifolds with positive isotropic curvature On the topology of manifolds with positive isotropic curvature

2008-01-15

arxiv.org/abs/0801.2221v3

Mathematics

Differential Geometry

5 Pages. To appear in Proc. of AMS

Scientific paper

We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with
positive isotropic curvature and free fundamental group is homeomorphic to the
connected sum of copies of $S^{n-1} \times S^1$.

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